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» Crossing and Weighted Crossing Number of Near-Planar Graphs
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ENDM
2007
65views more  ENDM 2007»
13 years 7 months ago
The crossing number of a projective graph is quadratic in the face-width
Isidoro Gitler, Petr Hlinený, Jesús ...
ENDM
2008
59views more  ENDM 2008»
13 years 7 months ago
Unexpected behaviour of crossing sequences
The nth crossing number of a graph G, denoted crn(G), is the minimum number of crossings in a drawing of G on an orientable surface of genus n. We prove that for every a > b &g...
Matt DeVos, Bojan Mohar, Robert Sámal
WG
2010
Springer
13 years 6 months ago
Graphs that Admit Right Angle Crossing Drawings
We consider right angle crossing (RAC) drawings of graphs in which the edges are represented by polygonal arcs and any two edges can cross only at a right angle. We show that if a ...
Karin Arikushi, Radoslav Fulek, Balázs Kesz...
APPROX
2004
Springer
136views Algorithms» more  APPROX 2004»
14 years 1 months ago
On the Crossing Spanning Tree Problem
Given an undirected n-node graph and a set C of m cuts, the minimum crossing tree is a spanning tree which minimizes the maximum crossing of any cut in C, where the crossing of a c...
Vittorio Bilò, Vineet Goyal, R. Ravi, Mohit...